In a certain code language, ‘FOX’ is coded as ‘14’ and ‘GOAT’ is coded as ‘21’. How will ‘TOMMY’ be coded in that language?

The correct answer is 30.

To find how the word ‘TOMMY’ is coded, we need to analyze the pattern used to code the words ‘FOX’ and ‘GOAT’.

The coding logic is based on the number of letters in each word. The formula used is:
$\text{Code}={\left(\text{Number of letters in the word}\right)}^2+5$

Let's verify this pattern with the given words:

1. For the word ‘FOX’:
The word has 3 letters ($n=3$).
Applying the formula:
$3^2+5=9+5=14$
This matches the given code for ‘FOX’ (14).

2. For the word ‘GOAT’:
The word has 4 letters ($n=4$).
Applying the formula:
$4^2+5=16+5=21$
This matches the given code for ‘GOAT’ (21).

3. For the word ‘TOMMY’:
The word has 5 letters ($n=5$).
Applying the same formula:
$5^2+5=25+5=30$

Therefore, the word ‘TOMMY’ will be coded as 30.